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JEE Main 2000 Mathematics question on Matrices and Determinants

If the system of equations x−ky−z=0x - ky - z = 0, kx−y−z=0kx - y - z = 0, x+y−z=0x + y - z = 0 has a non-zero solution, then possible values of kk are
  1. A.
    −1,2-1, 2
  2. B.
    1,21, 2
  3. C.
    0,10, 1
  4. D.
    −1,1-1, 1
Show answer

Correct option: D

[2000]

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